裂项相消法常见公式

1/n(n+1)(n+2)=?请求各位大虾们帮帮我……
2024-12-26 15:47:54
推荐回答(4个)
回答1:

原式=1/[n(n+1)]-1/[n(n+2)]
=1/n-1/(n+1)-[1/2n-1/2(n+2)]
=1/2n-1/(n+1)+1/2(n+2)

回答2:

1/n(n+1)(n+2)=1/2[1/n(n+1)-1/(n+1)(n+2)]   
这样才能多项 相消

回答3:

1/n(n+1)(n+2)=0.5[1/n(n+1)-1/(n+1)(n+2)]

回答4:

1